A) 3 : 4
B) 4 : 3
C) 1 : 3
D) 2 : 1
Correct Answer: D
Solution :
[d] \[n=\frac{1}{2\ell }\sqrt{\frac{T}{m}}\therefore \frac{{{n}_{2}}}{{{n}_{1}}}=\frac{{{\ell }_{1}}}{{{\ell }_{2}}}\sqrt{\frac{{{T}_{2}}}{{{T}_{1}}}}\] \[=\frac{{{\ell }_{1}}}{\left[ {{\ell }_{1}}-\frac{40}{100}{{\ell }_{1}} \right]}\frac{\sqrt{{{T}_{1}}+\left( \frac{44}{100} \right)}{{T}_{1}}}{{{T}_{1}}}\] \[=\frac{100}{60}\times \frac{12}{10}=2:1\]
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